Antiplane Elastic Systems Vi. Antiplane of Elastic Symmetry PDF Download
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Author: L. M. MILNE-THOMSON
Publisher:
ISBN:
Category :
Languages : en
Pages : 1
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IT IS SHOWN HOW THE PRESENCE OF AN ANTIPLANE OF ELASTICITY SYMMETRY PERMITS THE REDUCTION OF ANTIPLANE PROBLEMS CONCERNING ANISOTROPIC MATERIAL TO CORRESPONDING PROBLEMS CONCERNING ISOTROPIC MATERIAL. (Author).
Author: L. M. MILNE-THOMSON
Publisher:
ISBN:
Category :
Languages : en
Pages : 1
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Book Description
IT IS SHOWN HOW THE PRESENCE OF AN ANTIPLANE OF ELASTICITY SYMMETRY PERMITS THE REDUCTION OF ANTIPLANE PROBLEMS CONCERNING ANISOTROPIC MATERIAL TO CORRESPONDING PROBLEMS CONCERNING ISOTROPIC MATERIAL. (Author).
Author: UNITED STATES. DEPARTMENT OF THE ARMY. MATHEMATICS RESEARCH CENTER.
Publisher:
ISBN:
Category :
Languages : en
Pages : 39
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Author: Louis M. Milne-Thomson
Publisher: Springer Science & Business Media
ISBN: 3642856276
Category : Mathematics
Languages : en
Pages : 274
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Book Description
The term antiplane was introduced by L. N. G. FlLON to describe such problems as tension, push, bending by couples, torsion, and flexure by a transverse load. Looked at physically these problems differ from those of plane elasticity already treated * in that certain shearing stresses no longer vanish. This book is concerned with antiplane elastic systems in equilibrium or in steady motion within the framework of the linear theory, and is based upon lectures given at the Royal Naval College, Greenwich, to officers of the Royal Corps of Naval Constructors, and on technical reports recently published at the Mathematics Research Center, United States Army. My aim has been to tackle each problem, as far as possible, by direct rather than inverse or guessing methods. Here the complex variable again assumes an important role by simplifying equations and by introducing order into much of the treatment of anisotropic material. The work begins with an introduction to tensors by an intrinsic method which starts from a new and simple definition. This enables elastic properties to be stated with conciseness and physical clarity. This course in no way commits the reader to the exclusive use of tensor calculus, for the structure so built up merges into a more familiar form. Nevertheless it is believed that the tensor methods outlined here will prove useful also in other branches of applied mathematics.
Author: Louis Melville Milne-Thomson
Publisher:
ISBN:
Category : Elasticity
Languages : en
Pages : 53
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Author: Louis Melville Milne-Thomson
Publisher:
ISBN:
Category : Elasticity
Languages : en
Pages : 45
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Author: Giuseppe Grioli
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author: Thomas C. T. Ting
Publisher: Oxford University Press
ISBN: 0198023847
Category : Science
Languages : en
Pages : 592
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Book Description
Anisotropic Elasticity offers for the first time a comprehensive survey of the analysis of anisotropic materials that can have up to twenty-one elastic constants. Focusing on the mathematically elegant and technically powerful Stroh formalism as a means to understanding the subject, the author tackles a broad range of key topics, including antiplane deformations, Green's functions, stress singularities in composite materials, elliptic inclusions, cracks, thermo-elasticity, and piezoelectric materials, among many others. Well written, theoretically rigorous, and practically oriented, the book will be welcomed by students and researchers alike.
Author: L. M. MILNE-THOMSON
Publisher:
ISBN:
Category :
Languages : en
Pages : 1
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Contents: Boundary conditions for the complex stresses The form of the complex tresses at infinit Generalized plane deformation Complex stresses for generalized plane deformation Line force applied to an elastic half-plane Induced mappings for region exterior to an ellipse Elliptic cylindrical hole in infinite elastic space Determination of the complex stresses Elliptic hole un er hydrostatic pressure Unloaded elliptic cylindrical hole in a space nder stress Bending of cantilever by force at free end Center of flexure Timoshenko's stress function Flexure with elliptic or circular cross-section Cylindrical anisotropy The displacement in cylindrical anisotropy Lateral and end conditions Equations satisfied by the stress functions Circular tube under pressure Determination of the stresses Lame's problem of the tube under pressure.
Author: Louis Melville Milne-Thomson
Publisher:
ISBN:
Category : Elasticity
Languages : en
Pages : 83
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Book Description
Author: Louis Melville Milne-Thomson
Publisher:
ISBN:
Category : Elasticity
Languages : en
Pages : 51
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Book Description
